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Finding the Third Proportional to 78,195.38 and 167,463

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Solution

The third proportional to 78,195.38 and 167,463 is: 358,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.38 : 167,463 = 167,463 : x
  2. Step 2: Convert to fraction form
    78,195.38/167,463 = 167,463/x
  3. Step 3: Cross multiply
    78,195.38x = 167,463 × 167,463
  4. Step 4: Simplify right side
    78,195.38x = 28,043,856,369
  5. Step 5: Solve for x
    x = 28,043,856,369/78,195.38
  6. Step 6: Final answer
    x = 358,638.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.